$$\triangle A^{\prime} B^{\prime} C^{\prime}$$ is the image of $$\triangle A B C$$ under a rotation about point $$P$$. ![](http://admin.getprephub.com/media/editor/pt19_20230124205411204634.png) Determine the angle of rotation.

We need to rotate point $$A$$ through about $$\frac{11}{24}$$ of the circle to reach the image $$A^{\prime}$$, so that is about $$\frac{11}{24}\times 360^{\circ}=165^{\circ}$$. ![](http://admin.getprephub.com/media/editor/pt19s_20230124205422956123.png) Since we rotate clockwise, the angle of rotation is negative. That means point A has an angle of rotation of $$-165^{\circ}$$ The angle of rotation for $$\triangle A B C$$ is $$-165^{\circ}$$

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$\triangle A^{\prime} B^{\prime} C^{\prime}$ is the image of $\triangle A B C$ under a rotation about point $P$ .

Determine the angle of rotation.

Select all that apply :

$-165^{\circ}$

$-125^{\circ}$

$165^{\circ}$

$125^{\circ}$

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